Exact solutions of the position-dependent-effective mass Schrödinger equation | Zendy

M. Sebawe Abdalla | Zendy; Hichem Eleuch | Zendy

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Exact solutions of the position-dependent-effective mass Schrödinger equation

Author(s) -

M. Sebawe Abdalla,

Hichem Eleuch

Publication year - 2016

Publication title -

aip advances

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.421

H-Index - 58

ISSN - 2158-3226

DOI - 10.1063/1.4949567

Subject(s) - position (finance) , schrödinger equation , wave function , physics , effective mass (spring–mass system) , scattering , bound state , classical mechanics , quantum mechanics , quantum electrodynamics , economics , finance

The position-dependent effective mass Schrödinger equation exhibiting a similar position dependence for both the potential and mass is exactly solved. Some physical examples are given for bound and scattering systems. We analyze the behavior of the wavefunctions for scattered states in light of the parameters involved. We show that the parameters of the potential play a crucial role

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